Cost Allocations of a Grey Inventory Model with Cooperative Game Theory

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Öz

Inventory management studies on minimizing the
avarage total cost per unit time and determines the quantity of stocked
materaial which is an important issue for companies. However, in real life
inventory cost parameters may not be fully known, but they can be estimated as
intervals. Furthermore, the multiple companies can reduce their costs with
cooperation (coalition) and with the same target companies to reduce their
inventory and ordering costs.In this study, our contribution is how to
distribute the total cost of the companies operatingthe same sector and the same product. In
order to make practice, we examine three shotgun firms which order the same
products . Also we develop three cost allocation rules which are grey
proportional rule, grey equal charge allocation and grey alternative cost
avoidiance rule. We propose fair and stable cost distubition rules and compare
the best for firms.